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Finding the Fourth Proportional to 9,483.76, 13,084.76 and 6,123.50

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Solution

The fourth proportional to 9,483.76, 13,084.76 and 6,123.50 is: 8,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.76 : 13,084.76 = 6,123.50 : x
  2. Step 2: Convert to fraction form
    9,483.76/13,084.76 = 6,123.50/x
  3. Step 3: Cross multiply
    9,483.76x = 13,084.76 × 6,123.50
  4. Step 4: Simplify right side
    9,483.76x = 80,124,527.86
  5. Step 5: Solve for x
    x = 80,124,527.86/9,483.76
  6. Step 6: Final answer
    x = 8,448.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.